An introductory account of certain modern ideas and methods in plane analytical geometry (1894)
Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 273
the planeOPQ (Fig. 64), into a circle OPQ on the sphere, having itstangent at 0 parallel to PQ\ the point at infinity on theline PQ projects into the point 0, the projecting line being S.G. R 258 THE ABSOLUTE. this tangent.* Hence the projections of all straight lines havethis point 0 in common:… … Fig. 64. Now imagine the radius of the sphere to increase in-definitely, so that for any finite distance from 0 the sphericalsurface cannot be distinguished from the plane. The geometryon the sphere is therefore the same as the geometry on theplane over the whole finite region; but infinity is now…
Geometry, Analytic -- Plane
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
